Search a number
-
+
14412944 = 2471319521
BaseRepresentation
bin110110111110…
…110010010000
31000010020211202
4312332302100
512142203234
61232530332
7233336150
oct66766220
930106752
1014412944
118154727
1249b09a8
132ca8390
141cb2760
1513ea77e
hexdbec90

14412944 has 80 divisors (see below), whose sum is σ = 36247680. Its totient is φ = 5391360.

The previous prime is 14412917. The next prime is 14412947. The reversal of 14412944 is 44921441.

It is not an unprimeable number, because it can be changed into a prime (14412947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27404 + ... + 27924.

It is an arithmetic number, because the mean of its divisors is an integer number (453096).

Almost surely, 214412944 is an apocalyptic number.

14412944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14412944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123840).

14412944 is an abundant number, since it is smaller than the sum of its proper divisors (21834736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14412944 is a wasteful number, since it uses less digits than its factorization.

14412944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 562 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 14412944 is about 3796.4383308570. The cubic root of 14412944 is about 243.3609543092.

The spelling of 14412944 in words is "fourteen million, four hundred twelve thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 304 364 494 521 532 728 988 1042 1064 1456 1729 1976 2084 2128 3458 3647 3952 4168 6773 6916 7294 8336 9899 13546 13832 14588 19798 27092 27664 29176 39596 47411 54184 58352 69293 79192 94822 108368 128687 138586 158384 189644 257374 277172 379288 514748 554344 758576 900809 1029496 1108688 1801618 2058992 3603236 7206472 14412944